Skip to main content
SpringerLink
Log in

Magnetic Field Growth Rate in Galactic Disks for Different One-Dimensional Approximations

  • Published:
Bulletin of the Lebedev Physics Institute Aims and scope Submit manuscript

Abstract

A large number of galaxies have regular magnetic fields described by the dynamo mechanism from the theoretical point of view. The possibility of generating the field and its growth rate can be estimated by solving the eigenvalue problem. In the case of thin disks, the so-called planar approximation can be used, within which eigenvalues can be determined accurately. At the same time, in the case of thick disks, additional terms arise in equations, whose contribution is considered using the perturbation theory.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.

REFERENCES

  1. Beck, R., Brandenburg, A., Moss, D., Shukurov, A., and Sokoloff, D., Galactic magnetism: recent developments and observations, Ann. Rev. Astron. Astrophys., 1996, vol. 34, pp. 155–206. https://doi.org/10.1146/annurev.astro.34.1.155

    Article  ADS  Google Scholar 

  2. Arshakian, T., Beck, R., Krause, M., and Sokoloff, D., Evolution of magnetic fields in galaxies and future observational tests with Square Kilometre Array, Astron. Astrophys., vol. 2009, vol. 494, no. 1, pp. 21–32. https://doi.org/10.1051/0004-6361:200810964

  3. Fermi, E., On the origin of cosmic radiation, Phys. Rev., 1949, vol. 75, no. 8, pp. 1169–1174. https://doi.org/10.1103/PhysRev.75.1169

    Article  ADS  MATH  Google Scholar 

  4. Zeldovich, Ya.B., Ruzmaikin, A.A., and Sokoloff, D.D., Magnetic Fields in Astrophysics, New York: Gordon and Breach, 1984.

    Google Scholar 

  5. Manchester, R., Pulsar rotation and dispersion measures and the Galactic magnetic field, Astrophys. J., 1972, vol. 172, pp. 43–52. https://doi.org/10.1086/151326

    Article  ADS  Google Scholar 

  6. Andreasyan, R.R. and Makarov, A.N., Structure of the galactic magnetic field, Astrophysics, 1989, vol. 30, no. 1, pp. 101–110. https://doi.org/10.1007/BF01004096

    Article  ADS  Google Scholar 

  7. Andreasyan, R.R., Mikhailov, E.A., and Andreasyan, H.R., Structure and features of the galactic magnetic-field reversals formation, Astron. Rep., 2020, vol. 64, no. 3, pp. 189–198. https://doi.org/10.1134/s1063772920030014

    Article  ADS  Google Scholar 

  8. Horrelou, C., Beck, R., Berkhuijsen, E.M., Krause, M., and Klein, U., Faraday effects in the spiral galaxy M 51, Astron. Astrophys., 1992, vol. 265, pp. 417–428.

    ADS  Google Scholar 

  9. Beck, R., Fletcher, A., Shukurov, A., Snodin, A., Sokoloff, D.D., Ehle, M., Moss, D., and Shoutenkov, V., Magnetic fields in barred galaxies IV. NGC 1097 and NGC 1365, Astron. Astrophys., 2005, vol. 444, no. 3, pp. 739–765. https://doi.org/10.1051/0004-6361:20053556

    Article  ADS  Google Scholar 

  10. Frick, P., Stepanov, R., Beck, R., Sokoloff, D., Shukurov, A., Ehle, M., and Lundgren, A., Magnetic and gaseous spiral arms in M83, Astron. Astrophys., 2016, vol. 585, p. A21. https://doi.org/10.1051/0004-6361/201526796

    Article  ADS  Google Scholar 

  11. Ruzmaikin, A.A., Sokoloff, D.D., and Shukurov, A.M., Magnetic Fields of Galaxies, Berlin: Springer, 1988.

    Book  MATH  Google Scholar 

  12. Subramanian, K. and Mestel, L., Galactic dynamos and density wave theory II. an alternative treatment for strong non-axisymmetry, Mon. Not. R. Astron. Soc., 1993, vol. 265, pp. 649–654. https://doi.org/10.1093/mnras/265.3.649

    Article  ADS  Google Scholar 

  13. Moss, D., On the generation of bisymmetric magnetic field structures in spiral galaxies by tidal interactions, Mon. Not. R. Astron. Soc., 1995, vol. 275, no. 1, pp. 191–194. https://doi.org/10.1093/mnras/275.1.191

    Article  ADS  Google Scholar 

  14. Phillips, A., A comparison of the asymptotic and no-z approximations for galactic dynamos, Geophys. Astrophys. Fluid Dyn., 2001, vol. 94, no. 1, pp. 135–150. https://doi.org/10.1080/03091920108204133

    Article  ADS  Google Scholar 

  15. Stepinski, T.F. and Levy, E.H., Dynamo magnetic field modes in thin astrophysical disks: an adiabatic computational approximation, Astrophys. J., 1991, vol. 379, pp. 343–355. https://doi.org/10.1086/170509

    Article  ADS  Google Scholar 

  16. Sokoloff, D., Intermediate asymptotic in the disc dynamo problem, Magnetohydrodynamics, 1995, vol. 31, no. 1–2, pp. 44–48.

    MathSciNet  MATH  Google Scholar 

  17. Mikhailov, E.A., The spectral decomposition of the solution of the problem of generating galactic magnetic fields in the no-z approximation, Moscow Univ. Phys. Bull., 2020, vol. 75, no. 5, pp. 420–426. https://doi.org/10.3103/S0027134920050173

    Article  ADS  Google Scholar 

  18. Mikhailov, E., Symmetry of the magnetic fields in galactic dynamo and the material arms, Magnetohydrodynamics, 2020, vol. 56, no. 4, pp. 403–414. https://doi.org/10.22364/mhd.56.4.5

    Article  Google Scholar 

  19. Shukurov, A., Rodrigues, L.F.S., Bushby, P.J., Hollins, J., and Rachen, J.P., A physical approach to modeling large-scale galactic magnetic fields, Astron. Astrophys., 2019, vol. 623, p. A113. https://doi.org/10.1051/0004-6361/201834642

    Article  ADS  Google Scholar 

  20. Mikhailov, E.A. and Pushkarev, V., Research on magnetic fields of galaxies using RZ-model, Res. Astron. Astrophys., 2021, vol. 21, no. 3, p. 056. https://doi.org/10.1088/1674-4527/21/3/056

  21. Mikhailov, E.A. and Pushkarev, V., No-z approximation and rz-model for studying magnetic fields in astrophysical objects, Astron. Rep., 2021, vol. 65, no. 10, pp. 990–994. https://doi.org/10.1134/S1063772921100231

    Article  ADS  Google Scholar 

Download references

Funding

This study was supported by the Russian Science Foundation, project no. 19-72-30028.

Author information

Authors and Affiliations

  1. Lebedev Physical Institute, Russian Academy of Sciences, 119991, Moscow, Russia

    E. A. Mikhailov

  2. Lomonosov Moscow State University, 119991, Moscow, Russia

    E. A. Mikhailov

  3. Skolkovo Institute of Science and Technology, 121205, Moscow, Russia

    E. A. Mikhailov

Authors
  1. E. A. Mikhailov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. A. Mikhailov.

Ethics declarations

The author declares that he has no conflicts of interest.

Additional information

Translated by A. Kazantsev

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mikhailov, E.A. Magnetic Field Growth Rate in Galactic Disks for Different One-Dimensional Approximations. Bull. Lebedev Phys. Inst. 50, 39–44 (2023). https://doi.org/10.3103/S1068335623020069

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068335623020069

Keywords:

Search

Navigation